** Final Answer

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** Step-by-step Solution **

Problem to solve:

** Specify the solving method

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Factor the trinomial by $-1$ for an easier handling

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Factor the trinomial $-\left(x^2-7x+10\right)$ finding two numbers that multiply to form $10$ and added form $-7$

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Thus

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Factor the trinomial $\left(x^2-7x+10\right)$ finding two numbers that multiply to form $10$ and added form $-7$

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Thus

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Simplify the product $-(x-2)$

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Break the equation in factors and set each equal to zero, to obtain

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Solve the equation ($1$)

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We need to isolate the dependent variable $x$, we can do that by subtracting $-5$ from both sides of the equation

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Solve the equation ($2$)

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We need to isolate the dependent variable $x$, we can do that by subtracting $2$ from both sides of the equation

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Multiply both sides of the equation by $-1$

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Combining all solutions, the $2$ solutions of the equation are

** Final Answer

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